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361114104 = 233135712027
BaseRepresentation
bin10101100001100…
…010100111111000
3221011111111102110
4111201202213320
51214421122404
655455532320
711643263541
oct2541424770
9834444373
10361114104
1117592640a
12a0b2a0a0
1359a77bb0
1435d614c8
1521a81b89
hex158629f8

361114104 has 64 divisors (see below), whose sum is σ = 974413440. Its totient is φ = 110862720.

The previous prime is 361114079. The next prime is 361114109. The reversal of 361114104 is 401411163.

It is a super-2 number, since 2×3611141042 = 260806792215445632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361114109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177139 + ... + 179165.

It is an arithmetic number, because the mean of its divisors is an integer number (15225210).

Almost surely, 2361114104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487206720).

361114104 is an abundant number, since it is smaller than the sum of its proper divisors (613299336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361114104 is a wasteful number, since it uses less digits than its factorization.

361114104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 361114104 is about 19003.0024996052. The cubic root of 361114104 is about 712.1117475995. Note that the first 3 decimals are identical.

Adding to 361114104 its reverse (401411163), we get a palindrome (762525267).

The spelling of 361114104 in words is "three hundred sixty-one million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 571 1142 1713 2027 2284 3426 4054 4568 6081 6852 7423 8108 12162 13704 14846 16216 22269 24324 26351 29692 44538 48648 52702 59384 79053 89076 105404 158106 178152 210808 316212 632424 1157417 2314834 3472251 4629668 6944502 9259336 13889004 15046421 27778008 30092842 45139263 60185684 90278526 120371368 180557052 361114104